Animation of ocean wave surface. How can I create a filled waterbody with oscillating surface?

Hey out there.

I am working on wave modelling and wave propagation trough the sea surface. A numerical wave model, generates a matlab file, representing the oscillation of the sea surface. The mentioned matlab file, is a 3D matrix where each layer is a time step- Imagine a wave traveling along a confined wave flume, moving from an end to the other.

The same file represents the water surface. However I need to show a nice animation file, representing the confined water body, with fixed later walls but oscillating top (the surface, with the traveling wave). That is a box with fixed lateral coordinates and bottom (coinciding with flume bed) but where the surface of that body is moving, as the animation presents each frame of the animation.

So: if I know the lower coordinates of the vertical wall, in other words the water depth where water intercepts bottom level, how can create this animation??

Imagine I want to draw the first time-step. Available data is:

• Two matrices, of size S, representing X and Y coordinates
• A matrix W, of size S, representing the surface elevation for time t=0.

by issuing:

mesh(X,Y,W) I only see the water surface.

What I want is something like:

             meshfill(X,Y,[W 0])

so that would draw a curtain at the boundary of matrix W, down to a reference level (in this case 0).

Any help is greatly appreciated. Thank you

Marco